Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?(1 point)
Responses
200 students
200 students
124 students
124 students
50 students
50 students
250 students
The correct answer is 50 students.
Since there are four times as many seats in choir as there are in band, let's assume there are x seats in band.
According to the proportional relationship, there are 4x seats in choir.
The total number of students is 250, so the number of students choosing band plus the number of students choosing choir equals 250:
x + 4x = 250
5x = 250
x = 50
So, there are 50 students who can choose band.